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Jerkovits, Thomas and Sidorenko, Vladimir and Wacher-Zeh, Antonia (2021) Decoding of Space-Symmetric Rank Errors. In: 2021 IEEE International Symposium on Information Theory, ISIT 2021. 2021 IEEE International Symposium on Information Theory (ISIT), 2021-07-12 - 2021-07-20, Web conference. doi: 10.1109/ISIT45174.2021.9518115. ISBN 978-153868209-8. ISSN 2157-8095.
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Official URL: https://ieeexplore.ieee.org/abstract/document/9518115
Abstract
This paper investigates the decoding of certain Gabidulin codes over a channel with space-symmetric errors. Space-symmetric errors are additive error matrices that have the property that their column and row spaces are equal. We show that for channels restricted to space-symmetric errors, with high probability errors of rank up to 2(n−k)/3 can be decoded with a Gabidulin code of length n and dimension k , using a weak-self orthogonal basis as code locators.
| Item URL in elib: | https://elib.dlr.de/144033/ | ||||||||||||||||
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| Document Type: | Conference or Workshop Item (Lecture) | ||||||||||||||||
| Title: | Decoding of Space-Symmetric Rank Errors | ||||||||||||||||
| Authors: |
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| Date: | July 2021 | ||||||||||||||||
| Journal or Publication Title: | 2021 IEEE International Symposium on Information Theory, ISIT 2021 | ||||||||||||||||
| Refereed publication: | Yes | ||||||||||||||||
| Open Access: | No | ||||||||||||||||
| Gold Open Access: | No | ||||||||||||||||
| In SCOPUS: | Yes | ||||||||||||||||
| In ISI Web of Science: | Yes | ||||||||||||||||
| DOI: | 10.1109/ISIT45174.2021.9518115 | ||||||||||||||||
| ISSN: | 2157-8095 | ||||||||||||||||
| ISBN: | 978-153868209-8 | ||||||||||||||||
| Status: | Published | ||||||||||||||||
| Keywords: | rank metric, gabidulin codes, space-symmetric rank | ||||||||||||||||
| Event Title: | 2021 IEEE International Symposium on Information Theory (ISIT) | ||||||||||||||||
| Event Location: | Web conference | ||||||||||||||||
| Event Type: | international Conference | ||||||||||||||||
| Event Start Date: | 12 July 2021 | ||||||||||||||||
| Event End Date: | 20 July 2021 | ||||||||||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||||||
| HGF - Program: | Space | ||||||||||||||||
| HGF - Program Themes: | Communication, Navigation, Quantum Technology | ||||||||||||||||
| DLR - Research area: | Raumfahrt | ||||||||||||||||
| DLR - Program: | R KNQ - Communication, Navigation, Quantum Technology | ||||||||||||||||
| DLR - Research theme (Project): | R - Quantum cryptography with satellites | ||||||||||||||||
| Location: | Oberpfaffenhofen | ||||||||||||||||
| Institutes and Institutions: | Institute of Communication and Navigation > Satellite Networks | ||||||||||||||||
| Deposited By: | Jerkovits, Thomas | ||||||||||||||||
| Deposited On: | 01 Oct 2021 15:10 | ||||||||||||||||
| Last Modified: | 21 Oct 2024 09:51 |
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